Metrics for Asymptote A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (21.3%)

Memory

36.6MiB live, 1 153.4MiB allocated; 217ms collecting garbage

Samples

593.0ms	3 813×	1	valid
321.0ms	4 443×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 670.0ms

ival-add: 179.0ms (26.7% of total)

ival-sub: 177.0ms (26.4% of total)

ival-div: 164.0ms (24.5% of total)

adjust: 138.0ms (20.6% of total)

ival-true: 5.0ms (0.7% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain113.0ms (2%)

Memory

7.1MiB live, 109.5MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
66	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
0	-	-	`(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))`
0	-	-	`(+.f64 x #s(literal 1 binary64))`
0	-	-	`(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))`
0	-	-	`(-.f64 x #s(literal 1 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`	cancellation	66	0

Confusion

	Predicted +	Predicted -
+	66	0
-	0	190

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	0	0	190

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	190
1	66

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

31.0ms	286×	0	valid
28.0ms	226×	1	valid

Compiler

Compiled 73 to 25 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 23.0ms (51.4% of total)

ival-div: 9.0ms (20.1% of total)

adjust: 8.0ms (17.9% of total)

ival-add: 4.0ms (8.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess47.0ms (0.8%)

Memory

-30.5MiB live, 16.1MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	12	27
0	7	11
0	12	11
1	15	11
0	15	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
0	12	29
1	15	29
0	15	29

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize27.0ms (0.5%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy	14.219201311737324	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Samples

14.0ms	113×	1	valid
7.0ms	143×	0	valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 5.0ms (36.1% of total)

adjust: 4.0ms (28.9% of total)

ival-sub: 3.0ms (21.7% of total)

ival-add: 2.0ms (14.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Counts

5 → 34

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- x 1)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 1 x)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1))
1.0ms	x	@	-inf	((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1))
1.0ms	x	@	0	((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1))

Time

Variable

Point

Expression

1.0ms

inf

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1))

1.0ms

-inf

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1))

1.0ms

((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1))

simplify203.0ms (3.6%)

Memory

-11.3MiB live, 127.5MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	325
1	240	305
2	698	294
3	2860	291
0	8415	284

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- x 1)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 1 x)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- (* -1 x) 1)) 1)
(-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(-.f64 (.f64 (-.f64 (.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite196.0ms (3.5%)

Memory

15.3MiB live, 149.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	12	27
1	58	27
2	490	27
3	6775	27
0	8604	25

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 680

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

Outputs
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
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(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log1p.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fabs.f64 x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 x x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 x x) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))

eval164.0ms (2.9%)

Memory: 9.8MiB live, 197.4MiB allocated; 111ms collecting garbage
Compiler: Compiled 18 590 to 2 093 computations (88.7% saved)

prune11.0ms (0.2%)

Memory

38.1MiB live, 38.1MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	703	6	709
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	704	6	710

Accuracy

100.0%

Counts

710 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.8%	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	81.8%	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
	46.8%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
▶	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
▶	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 196 to 124 computations (36.7% saved)

simplify109.0ms (1.9%)

Memory

-57.7MiB live, 112.4MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	2	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff	3	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff	4	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	2	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff	4	(-.f64 (-.f64 x #s(literal 1 binary64)) x)

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	150
0	36	157
1	64	157
2	161	109
3	414	94
4	836	94
5	1914	94
0	8175	94

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))

Outputs
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize95.0ms (1.7%)

Memory

33.6MiB live, 133.0MiB allocated; 36ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0859375	(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy	27.128289563013627	(-.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.6269767979702652	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	34.02300142541421	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	29.660062460147714	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy	29.64616219621904	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy	0.0	(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x #s(literal 1 binary64))
accuracy	0.5332267979702652	(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	27.128289563013627	(-.f64 (-.f64 x #s(literal 1 binary64)) x)

Samples

46.0ms	118×	1	valid
34.0ms	138×	0	valid

Compiler

Compiled 140 to 22 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 22.0ms (33.7% of total)

ival-sub: 17.0ms (26.1% of total)

ival-div: 13.0ms (19.9% of total)

adjust: 9.0ms (13.8% of total)

ival-add: 5.0ms (7.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-38.1MiB live, 6.8MiB allocated; 11ms collecting garbage

Counts

13 → 29

Calls

Call 1

Inputs
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
-1
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(- x 1)
(pow x 2)
(/ -2 (pow x 2))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1))
1.0ms	x	@	-inf	((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1))
1.0ms	x	@	inf	((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1))

Time

Variable

Point

Expression

8.0ms

((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1))

1.0ms

-inf

((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1))

1.0ms

inf

((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1))

simplify145.0ms (2.6%)

Memory

50.8MiB live, 138.0MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	240
1	216	236
2	762	218
3	3757	214
0	8280	203

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
-1
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(- x 1)
(pow x 2)
(/ -2 (pow x 2))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))

Outputs
-1
#s(literal -1 binary64)
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (*.f64 x x))
x
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))

rewrite293.0ms (5.2%)

Memory

-27.3MiB live, 269.5MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	118
0	36	115
1	161	113
2	1324	113
0	8795	108

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

13 → 682

Calls

Call 1

Inputs
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

Outputs
(*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (-.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x x) (-.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 (neg.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval112.0ms (2%)

Memory: -16.9MiB live, 211.9MiB allocated; 43ms collecting garbage
Compiler: Compiled 27 817 to 2 745 computations (90.1% saved)

prune18.0ms (0.3%)

Memory

9.3MiB live, 55.5MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	847	5	852
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	850	8	858

Accuracy

100.0%

Counts

858 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	99.2%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
▶	53.6%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
▶	46.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
▶	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 216 to 145 computations (32.9% saved)

simplify134.0ms (2.4%)

Memory

25.6MiB live, 170.0MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff	0	(/.f64 #s(literal -2 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(fabs.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	3	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	168
0	44	171
1	68	165
2	144	135
3	307	135
4	594	135
5	993	135
6	1611	135
7	2414	135
8	3591	135
9	6450	135
0	8228	135

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (fma.f64 (fabs.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fabs.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
#s(literal -2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)

localize107.0ms (1.9%)

Memory

-12.2MiB live, 182.4MiB allocated; 22ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal 2 binary64))
accuracy	0.6269767979702652	(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	34.02300142541421	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy	0.0	(/.f64 #s(literal -2 binary64) x)
accuracy	0.140625	(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy	34.02300142541421	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
accuracy	0.0	(fma.f64 x x #s(literal -1 binary64))
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.5332267979702652	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.0	(fabs.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	29.72362071714722	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.01171875	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy	0.0859375	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

64.0ms	118×	1	valid
26.0ms	138×	0	valid

Compiler

Compiled 143 to 27 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

adjust: 24.0ms (37.3% of total)

ival-div: 19.0ms (29.6% of total)

ival-sub: 7.0ms (10.9% of total)

ival-mult: 6.0ms (9.3% of total)

ival-add: 5.0ms (7.8% of total)

ival-pow2: 2.0ms (3.1% of total)

ival-fabs: 1.0ms (1.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

17 → 35

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))

Outputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-2
-1
(- x 1)
(+ 2 (* x (fabs (* 2 x))))
(fabs (* 2 x))
(* 2 x)
(- (pow x 2) 1)
(/ -2 (pow x 2))
(/ -2 x)
(pow x 2)
1
(+ 1 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
x
(* x (- 1 (/ 1 x)))
(* x (fabs (* 2 x)))
(* x (+ (fabs (* 2 x)) (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (fabs (* 2 x))) (* 2 (/ 1 x)))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- (- (- x 1) x) 1) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (fabs (* 2 x)) x) 2) (fabs (* 2 x)) (* 2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (+ (* x x) -1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (pow x 2)) (pow x 2) (+ x 1))

2.0ms

-inf

((/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- (- (- x 1) x) 1) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (fabs (* 2 x)) x) 2) (fabs (* 2 x)) (* 2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (+ (* x x) -1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (pow x 2)) (pow x 2) (+ x 1))

1.0ms

((/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ x 1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- (- (- x 1) x) 1) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (fabs (* 2 x)) x) 2) (fabs (* 2 x)) (* 2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (+ (* x x) -1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (pow x 2)) (pow x 2) (+ x 1))

simplify186.0ms (3.3%)

Memory

-8.6MiB live, 179.2MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	281
1	245	277
2	857	259
3	3918	255
0	8272	241

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

Calls

Call 1

Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-2
-1
(- x 1)
(+ 2 (* x (fabs (* 2 x))))
(fabs (* 2 x))
(* 2 x)
(- (pow x 2) 1)
(/ -2 (pow x 2))
(/ -2 x)
(pow x 2)
1
(+ 1 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
x
(* x (- 1 (/ 1 x)))
(* x (fabs (* 2 x)))
(* x (+ (fabs (* 2 x)) (* 2 (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (fabs (* 2 x))) (* 2 (/ 1 x)))))

Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(+ 2 (* x (fabs (* 2 x))))
(fma.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64))
(fabs (* 2 x))
(*.f64 (fabs.f64 x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
x
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* x (fabs (* 2 x)))
(.f64 (.f64 (fabs.f64 x) x) #s(literal 2 binary64))
(* x (+ (fabs (* 2 x)) (* 2 (/ 1 x))))
(fma.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (fabs (* 2 x))) (* 2 (/ 1 x)))))
(fma.f64 (*.f64 (fabs.f64 x) x) #s(literal 2 binary64) #s(literal 2 binary64))

rewrite185.0ms (3.3%)

Memory

-8.4MiB live, 226.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	44	148
1	175	142
2	1256	140
0	8387	137

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 516

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64))
(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))

Outputs
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
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eval71.0ms (1.2%)

Memory: 4.0MiB live, 105.5MiB allocated; 16ms collecting garbage
Compiler: Compiled 13 686 to 1 618 computations (88.2% saved)

prune13.0ms (0.2%)

Memory

-15.6MiB live, 31.1MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	458	6	464
Fresh	0	0	0
Picked	2	3	5
Done	1	2	3
Total	461	11	472

Accuracy

100.0%

Counts

472 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
	70.1%	(/.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)))
✓	99.2%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
▶	66.0%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
▶	99.2%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
▶	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
▶	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
✓	46.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
✓	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 358 to 223 computations (37.7% saved)

simplify168.0ms (3%)

Memory

38.3MiB live, 176.1MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	1	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
cost-diff	1	(+.f64 (neg.f64 x) #s(literal -1 binary64))
cost-diff	6	(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
cost-diff	16	(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff	3	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	3	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x #s(literal -2 binary64))
cost-diff	0	(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
cost-diff	0	(+.f64 x x)
cost-diff	0	(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
cost-diff	0	(-.f64 x #s(literal 1 binary64))
cost-diff	0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
cost-diff	5	(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	307
0	68	268
1	137	238
2	544	183
3	3806	183
0	9040	183

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(+.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))

Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
x
#s(literal -2 binary64)
#s(literal 2 binary64)
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))

localize1.0s (17.8%)

Memory

-305.5MiB live, 192.0MiB allocated; 1.5s collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy	0.01953125	(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy	0.31859459202707485	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
accuracy	9.655723905392204	(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.04296875	(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	13.780619233133107	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
accuracy	0.0	(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
accuracy	0.0	(+.f64 x x)
accuracy	13.841641067599806	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
accuracy	0.0	(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy	0.0	#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy	0.00390625	(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy	0.31859459202707485	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))

Samples

905.0ms	132×	0	invalid
64.0ms	56×	1	valid
16.0ms	68×	0	valid

Compiler

Compiled 298 to 42 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

adjust: 34.0ms (34.3% of total)

ival-mult: 23.0ms (23.2% of total)

ival-add: 21.0ms (21.2% of total)

ival-div: 12.0ms (12.1% of total)

ival-sub: 6.0ms (6% of total)

ival-sqrt: 2.0ms (2% of total)

ival-neg: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

-27.0MiB live, 18.9MiB allocated; 4ms collecting garbage

Counts

21 → 70

Calls

Call 1

Inputs
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(+.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(sqrt.f64 x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))

Outputs
-1
(- (pow x 2) 1)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-2
(- x 1)
(* 2 x)
(+ 2 (* -2 (pow x 2)))
(* -2 x)
1
(+ 1 x)
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* -2 (pow x 2)))))
(+ 1 (* x (+ 2 (* (pow x 2) (- (* -1 x) 2)))))
(- (* -1 x) 1)
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- x 1))
(sqrt x)
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(* x (+ 1 (* x (+ 1 (* x (- (* -1 x) 1))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* x (- 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 2))
(* x (+ 1 (/ 1 x)))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 4) (- (/ 2 (pow x 3)) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 4) (- (+ (/ 1 (pow x 4)) (/ 2 (pow x 3))) (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (/ 1 x))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (* (pow x 4) (+ 1 (/ 1 x))))
(* (pow x 4) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 4) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
(/ 2 (* (pow x 2) (pow (sqrt -1) 2)))
(/ (+ (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (* x (pow (sqrt -1) 6)))) (/ 2 (* x (pow (sqrt -1) 4)))) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 6)))) (* -1 (/ (* (+ 1 (pow (sqrt -1) 2)) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) x)) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* (pow x 4) (- (* -1 (/ (- 2 (* 2 (/ 1 (pow x 2)))) x)) 1))
(* (pow x 4) (- (* -1 (/ (+ 2 (* -1 (/ (+ 2 (/ 1 x)) (pow x 2)))) x)) 1))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow x 4) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1))
(* (pow x 4) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1))

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

-inf

((+ (- x 1) (* (- x 1) x)) (/ (- (- (- x 1) x) 1) (+ (- x 1) (* (- x 1) x))) (- (- (- x 1) x) 1) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ x x) x) 2) (+ x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x -2) x) 2) (* x -2) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (/ (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (* (+ (neg x) -1) (+ 1 x))) (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (+ (neg x) -1) (* (+ (* x x) -1) x) (* (- x 1) x) (sqrt x) (/ (- (- (- x 1) x) 1) (/ (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (* (+ (neg x) -1) (+ 1 x)))) (* (+ (neg x) -1) (* (+ (* x x) -1) x)))

4.0ms

((+ (- x 1) (* (- x 1) x)) (/ (- (- (- x 1) x) 1) (+ (- x 1) (* (- x 1) x))) (- (- (- x 1) x) 1) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ x x) x) 2) (+ x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x -2) x) 2) (* x -2) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (/ (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (* (+ (neg x) -1) (+ 1 x))) (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (+ (neg x) -1) (* (+ (* x x) -1) x) (* (- x 1) x) (sqrt x) (/ (- (- (- x 1) x) 1) (/ (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (* (+ (neg x) -1) (+ 1 x)))) (* (+ (neg x) -1) (* (+ (* x x) -1) x)))

3.0ms

inf

((+ (- x 1) (* (- x 1) x)) (/ (- (- (- x 1) x) 1) (+ (- x 1) (* (- x 1) x))) (- (- (- x 1) x) 1) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (+ x x) x) 2) (+ x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x -2) x) 2) (* x -2) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (+ (* (sqrt x) (sqrt x)) 1)) (+ (* (sqrt x) (sqrt x)) 1) (/ (- (- (- x 1) x) 1) (- x 1)) (/ (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (* (+ (neg x) -1) (+ 1 x))) (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (+ (neg x) -1) (* (+ (* x x) -1) x) (* (- x 1) x) (sqrt x) (/ (- (- (- x 1) x) 1) (/ (+ (* (+ (* (neg x) x) 1) (+ 1 x)) (* (+ (neg x) -1) (* (+ (* x x) -1) x))) (* (+ (neg x) -1) (+ 1 x)))) (* (+ (neg x) -1) (* (+ (* x x) -1) x)))

simplify104.0ms (1.8%)

Memory

29.3MiB live, 124.6MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	693
1	647	638
2	2618	578
0	9466	555

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

Calls

Call 1

Inputs
-1
(- (pow x 2) 1)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-2
(- x 1)
(* 2 x)
(+ 2 (* -2 (pow x 2)))
(* -2 x)
1
(+ 1 x)
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* -2 (pow x 2)))))
(+ 1 (* x (+ 2 (* (pow x 2) (- (* -1 x) 2)))))
(- (* -1 x) 1)
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- x 1))
(sqrt x)
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(* x (+ 1 (* x (+ 1 (* x (- (* -1 x) 1))))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* x (- 1 (/ 1 x)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* -2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 2))
(* x (+ 1 (/ 1 x)))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 4) (- (/ 2 (pow x 3)) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 4) (- (+ (/ 1 (pow x 4)) (/ 2 (pow x 3))) (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (/ 1 x))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (* (pow x 4) (+ 1 (/ 1 x))))
(* (pow x 4) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 4) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
(/ 2 (* (pow x 2) (pow (sqrt -1) 2)))
(/ (+ (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (* x (pow (sqrt -1) 6)))) (/ 2 (* x (pow (sqrt -1) 4)))) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 6)))) (* -1 (/ (* (+ 1 (pow (sqrt -1) 2)) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) x)) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(* (pow x 4) (- (* -1 (/ (- 2 (* 2 (/ 1 (pow x 2)))) x)) 1))
(* (pow x 4) (- (* -1 (/ (+ 2 (* -1 (/ (+ 2 (/ 1 x)) (pow x 2)))) x)) 1))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow x 4) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1))
(* (pow x 4) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1))

Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ 2 (* -2 (pow x 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* -2 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* (pow x 2) (- (* -1 x) 2)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (neg.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(sqrt x)
(sqrt.f64 x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 (* -1 x)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1 (* x (- (* -1 x) 1))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 2 binary64)) (*.f64 x x))
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* -2 (pow x 2))
(.f64 (.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 2))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 2 (pow x 3)) (+ 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1 (pow x 4)) (/ 2 (pow x 3))) (+ 1 (* 2 (/ 1 x)))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))))
(* (pow x 2) (- 1 (/ 1 x)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* -1 (* (pow x 4) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/ 2 (* (pow x 2) (pow (sqrt -1) 2)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ (+ (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (* x (pow (sqrt -1) 6)))) (/ 2 (* x (pow (sqrt -1) 4)))) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) x)) x) x)
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (+ 1 (pow (sqrt -1) 2)) (* x (pow (sqrt -1) 6)))) (* -1 (/ (* (+ 1 (pow (sqrt -1) 2)) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) (* x (pow (sqrt -1) 2))))) (+ (* -2 (/ (pow (+ 1 (pow (sqrt -1) 2)) 2) (pow (sqrt -1) 6))) (* 2 (/ 1 (pow (sqrt -1) 4))))) x)) (* 2 (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 4)))) x)) (* 2 (/ 1 (pow (sqrt -1) 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) x)) x)) x) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (- (pow (sqrt -1) 2) (/ 1 x))))
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x)) x)
(* (pow x 4) (- (* -1 (/ (- 2 (* 2 (/ 1 (pow x 2)))) x)) 1))
(.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (.f64 x x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 2 (* -1 (/ (+ 2 (/ 1 x)) (pow x 2)))) x)) 1))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (pow x 4) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 x)) x))) x)) 1))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))

rewrite37.0ms (0.7%)

Memory

-14.2MiB live, 32.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	249
0	68	243
0	307	241

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

21 → 81

Calls

Call 1

Inputs
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(+.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(sqrt.f64 x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))

Outputs
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x))) (-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (.f64 (-.f64 x #s(literal 1 binary64)) x)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) x))
(-.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64))))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 #s(literal 2 binary64) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(+.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 (.f64 #s(literal -2 binary64) x) x)) #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 (.f64 #s(literal -2 binary64) x) x) (-.f64 #s(literal 4 binary64) (.f64 (.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal 2 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -2 binary64) x) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) (-.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))))))
(fma.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64))) x (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(+.f64 (.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) (neg.f64 x))) (+.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64))) x)
(.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))

eval20.0ms (0.4%)

Memory: 6.8MiB live, 52.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 5 268 to 616 computations (88.3% saved)

prune10.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	161	3	164
Fresh	0	1	1
Picked	2	3	5
Done	0	5	5
Total	163	12	175

Accuracy

100.0%

Counts

175 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(/.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)))
	21.7%	(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
✓	99.2%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓	99.2%	(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
	66.1%	(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
✓	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
✓	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
✓	46.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
✓	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	46.0%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
	2.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (.f64 (.f64 #s(literal -2 binary64) x) x)))
✓	53.7%	#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Compiler

Compiled 664 to 251 computations (62.2% saved)

regimes13.0ms (0.2%)

Memory

-24.2MiB live, 21.8MiB allocated; 3ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (.f64 (.f64 #s(literal -2 binary64) x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) (/.f64 #s(literal -2 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (neg.f64 x))))) (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal 1 binary64)))

Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Calls

2 calls:

8.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
99.8%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (.f64 (.f64 #s(literal -2 binary64) x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))

Calls

2 calls:

3.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
99.2%	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (.f64 (.f64 #s(literal -2 binary64) x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`
98.5%	3	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes10.0ms (0.2%)

Memory

-41.3MiB live, 10.4MiB allocated; 6ms collecting garbage

Accuracy

Total -33.0b remaining (-111.2%)

Threshold costs -33b (-111.2%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(approx (+ (* (* x -2) x) 2) (.f64 (.f64 #s(literal -2 binary64) x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x #s(literal -2 binary64)) x #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) x)) x #s(literal 2 binary64)))

Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Calls

2 calls:

7.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
53.7%	1	`x`
53.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.0

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify11.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	44	93
2	61	85
3	79	83
4	89	83
5	91	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

Outputs
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

derivations774.0ms (13.6%)

Memory

23.2MiB live, 591.8MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	146
0	44	148
1	175	142
2	1256	140
0	8387	137
0	63	240
1	216	236
2	762	218
3	3757	214
0	8280	203
0	24	118
0	36	115
1	161	113
2	1324	113
0	8795	108
0	83	325
1	240	305
2	698	294
3	2860	291
0	8415	284
0	7	27
0	12	27
1	58	27
2	490	27
3	6775	27
0	8604	25

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 93 to 33 computations (64.5% saved)

preprocess27.0ms (0.5%)

Memory: -2.8MiB live, 43.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 208 to 80 computations (61.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0%)

sample1.2s (21.3%)

explain113.0ms (2%)

preprocess47.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize27.0ms (0.5%)

series2.0ms (0%)

simplify203.0ms (3.6%)

rewrite196.0ms (3.5%)

eval164.0ms (2.9%)

prune11.0ms (0.2%)

simplify109.0ms (1.9%)

localize95.0ms (1.7%)

series11.0ms (0.2%)

simplify145.0ms (2.6%)

rewrite293.0ms (5.2%)

eval112.0ms (2%)

prune18.0ms (0.3%)

simplify134.0ms (2.4%)

localize107.0ms (1.9%)

series5.0ms (0.1%)

simplify186.0ms (3.3%)

rewrite185.0ms (3.3%)

eval71.0ms (1.2%)

prune13.0ms (0.2%)

simplify168.0ms (3%)

localize1.0s (17.8%)

series15.0ms (0.3%)

simplify104.0ms (1.8%)

rewrite37.0ms (0.7%)

eval20.0ms (0.4%)

prune10.0ms (0.2%)

regimes13.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

simplify11.0ms (0.2%)

derivations774.0ms (13.6%)

preprocess27.0ms (0.5%)

end0.0ms (0%)

Profiling